You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 72% at a level of significance of a = 0.01. According to your sample, 45 out of 70 potential voters prefer the Democratic candidate. Use the p-value approach. a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: p H₁: p < c. The test statistic z 0 d. The p-value = e. The p-value is > ✓ α (please enter a decimal) f Based on this we should fail to reiect (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) ✓✓the null hypothesis

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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly smaller than 72% at a level of significance of a = 0.01. According to your sample, 45 out of 70
potential voters prefer the Democratic candidate. Use the p-value approach.
a. For this study, we should use z-test for a population proportion ✓
OB
b. The null and alternative hypotheses would be:
Ho: p✓✓
0⁰
H₁: p
OB
c. The test statistic z
Or
d. The p-value =
e. The p-value is v
or
α
f. Based on this, we should fail to reject
OB
0°
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population proportion is not significantly smaller than 72% at a = 0.01,
so there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 72%.
O The data suggest the populaton proportion is significantly smaller than 72% at a = 0.01, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is smaller than 72%
The data suggest the population proportion is not significantly smaller than 72% at a = 0.01,
so there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is smaller than 72%.
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 72% at a level of significance of a = 0.01. According to your sample, 45 out of 70 potential voters prefer the Democratic candidate. Use the p-value approach. a. For this study, we should use z-test for a population proportion ✓ OB b. The null and alternative hypotheses would be: Ho: p✓✓ 0⁰ H₁: p OB c. The test statistic z Or d. The p-value = e. The p-value is v or α f. Based on this, we should fail to reject OB 0° (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly smaller than 72% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%. O The data suggest the populaton proportion is significantly smaller than 72% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72% The data suggest the population proportion is not significantly smaller than 72% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72%.
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